**Regression Equation**

The regression equation represents the relationship between two variables, usually denoted as y and x. It is used to predict the value of the dependent variable (y) based on the value of the independent variable (x). In this case, the regression equation is given as:

Y = 13 - (3X/2)

**Slope of the Regression Line (bxy)**

The slope of the regression line, denoted as bxy, represents the change in the dependent variable (y) for a one-unit change in the independent variable (x). It can be calculated by comparing the coefficients of the independent variable in the regression equation.

Comparing the given equation Y = 13 - (3X/2) with the standard form of the regression equation Y = a + bX, we can observe that the coefficient of X is -3/2. Therefore, the slope of the regression line (bxy) is -3/2.

**Interpreting bxy**

The slope of the regression line (bxy) provides important information about the relationship between the two variables. In this case, a negative slope of -3/2 indicates that as the independent variable (x) increases by one unit, the dependent variable (y) decreases by 3/2 units.

**Options Analysis**

Now let's analyze the given options:

(a) 2 3
(b) 2 3 -
(c) 3 2
(d) 3 2

We can see that all the options are in the form of a fraction, with a numerator and denominator. The numerator represents the change in the dependent variable (y) and the denominator represents the change in the independent variable (x).

Comparing the options with the calculated slope of -3/2, we can determine the correct answer:

(a) 2 3: This option represents a change in y of 2 units for a change in x of 3 units. This does not match the calculated slope of -3/2.

(b) 2 3 -: This option represents a change in y of 2 units for a change in x of 3 units, with a negative sign. This does not match the calculated slope of -3/2.

(c) 3 2: This option represents a change in y of 3 units for a change in x of 2 units. This does not match the calculated slope of -3/2.

(d) 3 2: This option represents a change in y of 3 units for a change in x of 2 units. This matches the calculated slope of -3/2.

Therefore, the correct answer is (d) 3 2, which represents the slope of the regression line (bxy) in the given equation.